Title :
The Degree Distribution of Generalized Collaboration Networks with Preferential Attachment
Author :
Lei Min ; Zhang Ye ; Zhu Min ; Jing Ping
Author_Institution :
Coll. of Electr. & Inf. Eng., Hunan Univ. of Technol., Zhuzhou, China
Abstract :
A generalized collaboration network with preferential attachment is proposed in this paper, in which the number of collaborators in a collaboration project is a random variable, and the collaborators are selected preferentially from the existing network. The analytical expressions for the degree distribution are obtained based on the techniques of markov chain theory, theoretical results shows that the generalized collaboration network is scale-free., with the degree exponent greater than 2.
Keywords :
Markov processes; complex networks; network theory (graphs); random processes; Markov chain theory; analytical expressions; collaboration project; generalized collaboration network degree distribution; random variable; scale-free network; Biochemistry; Collaboration; Difference equations; Educational institutions; Markov processes; Organizations; Random variables; Collaboration Network; Degree Distribution; Markov Chain; Scale-free;
Conference_Titel :
Intelligent System Design and Engineering Applications (ISDEA), 2013 Third International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4673-4893-5
DOI :
10.1109/ISDEA.2012.337